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Consider a causal and stable LTI system with rational transfer function H(z). Whose corresponding impulse response begins at n = 0. Furthermore, The poles of H(z) are for k = 1,2,3,4. The zeros of H(z) are all at z = 0. Let. The value of g [8] equals ___________.

[GATE EE 2017 Set 1]
A
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